3253900032 has 288 divisors, whose sum is σ = 10007424000. Its totient is φ = 1042329600.

The previous prime is 3253900031. The next prime is 3253900093. The reversal of 3253900032 is 2300093523.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3253899969 and 3253900005.

It is not an unprimeable number, because it can be changed into a prime (3253900031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32216782 + ... + 32216882.

It is an arithmetic number, because the mean of its divisors is an integer number (34748000).

Almost surely, 2^3253900032 is an apocalyptic number.

3253900032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3253900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003712000).

3253900032 is an abundant number, since it is smaller than the sum of its proper divisors (6753523968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3253900032 is a wasteful number, since it uses less digits than its factorization.

3253900032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3253900032 is about 57042.9665427737. The cubic root of 3253900032 is about 1481.8403014332.

Adding to 3253900032 its reverse (2300093523), we get a palindrome (5553993555).

The spelling of 3253900032 in words is "three billion, two hundred fifty-three million, nine hundred thousand, thirty-two".